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Finding the Third Proportional to 440,010 and 686,296

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Solution

The third proportional to 440,010 and 686,296 is: 1,070,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,010 : 686,296 = 686,296 : x
  2. Step 2: Convert to fraction form
    440,010/686,296 = 686,296/x
  3. Step 3: Cross multiply
    440,010x = 686,296 × 686,296
  4. Step 4: Simplify right side
    440,010x = 471,002,199,616
  5. Step 5: Solve for x
    x = 471,002,199,616/440,010
  6. Step 6: Final answer
    x = 1,070,435.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.